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Question

A recipe needs 2522 teaspoon black pepper and 1433 teaspoon red pepper. How much more black pepper than the red pepper does the recipe need?

A
2733
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B
1766
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C
3722
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D
1722
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Solution

The correct option is B 1766
Convert each mixed fractions into the improper fractions as follows

2522=22×2+522=44+522=4922

1433=33×1+433=3733

Amount of more black pepper needed than the red papper
=49223733

As these are unlike fractions, convert them into the like fraction.
LCM of denominators of 22 and 33 = 66

Rewrite the denominators in each fraction as 66 (LCM of 22 and 33) as follows

4922=49×322×3=14766

3733=37×233×2=7466

49223733

=147667466

=1477466

=7366

As 7366 is an improper fraction, convert it into the mixed number as follows

7366=66+766

=6666+766

=1+766

=1766

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